The solutions of these equations can be easily obtained for several
\(\tilde{\phi } (x)\)  using the well known SQM approach [1]} by defining
two operators \(\hat{A}\)  and \(\hat{A^{\dagger }}\)  as
\(\hat{A} = \frac{d}{dx}+\tilde{\phi }(x) \quad \mbox{and} \quad \hat{A^{\dagger }} = -\frac{d}{dx}+\tilde{\phi }(x).\) 
